During this time he worked and solved many theorems.
In 1796 he solved the major construction problems by proving that Fermat Prime Polygon can be constructed by a compass and ruler. He went deeper into modular arithmetic to further simplify the number theory.
His teachers straightaway spotted the potential when he added up the 1 to 100 integers by noticing that the result was 50 pairs of numbers the answer of each sum was 101.
In his teenage he had made some amazing mathematical discoveries and by the time he was 21, he had already finished with his magnum opus ‘Disquisitiones Arithamaticae’ in 1798.
He was also the first to develop Non-Euclidean geometry.
He did not publish any related work because he did not want to get involved in any controversies.
Subsequently, he was made the director of the Observatory in Göttingen, a post that he never abandoned till his death.
Being a child prodigy, Gauss used some calculations to work it out himself. If I can read and understand Clarke's translation in less time than it took Gauss to write the original, I will be doing well.